Solve. $$ 5 s^{2}-80=0 $$

1. Start with the equation: \[ 5s^2 - 80 = 0 \] 2. Factor out $$5$$ from the equation: \[ 5(s^2 - 16) = 0 \] 3. Since $$5 \neq 0$$, set the expression in the parenthesis equal to zero: \[ s^2 - 16 = 0 \] 4. Solve for $$ s^2 $$: \[ s^2 = 16 \] 5. Take the square root of both sides: \[ s = \pm 4 \] The solutions are $$ s = 4 $$ and $$ s = -4 $$. The solutions are $$ s = 4 $$ and $$ s = -4 $$.

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Home Question Bank Math Algebra

Question

Solve.

Ask by Hobbs Vargas. in the United States

Mar 22,2025

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Answer

The solutions are

and

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Mind Expander

To solve the equation

, start by adding 80 to both sides:

Next, divide both sides by 5:

Now, take the square root of both sides, remembering to include both the positive and negative roots:

So, the solutions are

and

Now you have two values for

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